Which of the following functions f(x)f(x)f(x) is continuous at x=0x=0x=0?
f(x)=⌊x⌋f(x) = \lfloor x \rfloorf(x)=⌊x⌋
f(x)=∣x∣xf(x) = \frac{|x|}{x}f(x)=x∣x∣
f(x)=xsin(1/x)f(x) = x \sin(1/x)f(x)=xsin(1/x) for x≠0x \neq 0x=0 and f(0)=0f(0)=0f(0)=0
f(x)=1/xf(x) = 1/xf(x)=1/x